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Finding the Fourth Proportional to 6,543.88, 9,034.67 and 5,049.02

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Solution

The fourth proportional to 6,543.88, 9,034.67 and 5,049.02 is: 6,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.88 : 9,034.67 = 5,049.02 : x
  2. Step 2: Convert to fraction form
    6,543.88/9,034.67 = 5,049.02/x
  3. Step 3: Cross multiply
    6,543.88x = 9,034.67 × 5,049.02
  4. Step 4: Simplify right side
    6,543.88x = 45,616,229.52
  5. Step 5: Solve for x
    x = 45,616,229.52/6,543.88
  6. Step 6: Final answer
    x = 6,970.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.